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Finding the Fourth Proportional to 10,547.04, 15,821.10 and 3,621

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Solution

The fourth proportional to 10,547.04, 15,821.10 and 3,621 is: 5,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.04 : 15,821.10 = 3,621 : x
  2. Step 2: Convert to fraction form
    10,547.04/15,821.10 = 3,621/x
  3. Step 3: Cross multiply
    10,547.04x = 15,821.10 × 3,621
  4. Step 4: Simplify right side
    10,547.04x = 57,288,203.10
  5. Step 5: Solve for x
    x = 57,288,203.10/10,547.04
  6. Step 6: Final answer
    x = 5,431.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.